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1 results

  • 5 - Incompressible Solvers for Single-Phase Flow

  • from Part II - Single-Phase Flow
  • Knut-Andreas Lie
  • Book:
    An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
    Published online:
    22 July 2019
    Print publication:
    08 August 2019, pp 143-173
    • Chapter
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  • Summary

    This chapter explains how the mathematical models from Chapter 4 are implemented and integrated to form a full simulator. To this end, we introduce data structures to represent fluid behavior, the reservoir state, boundary conditions, source terms, and wells. We then explain in detail how the two-point flux approximation (TPFA) scheme is implemented in MRST for general unstructured grids. We also outline the basic solver used to compute time-of-flight and tracer partitions. We end the chapter by presenting a few examples that demonstrate how to set up simulations in MRST and set appropriate boundary conditions, source terms, or well models. The examples include the famous quarter-five spot problem, a corner-point grid with four intersecting faults, and a model of a shallow-marine reservoir (SAIGUP).